Flashcard #5 - 2nd Qtr - ALG

Front

If f(x) = x, which equation represents the function when shifted down two units?

Back

g(x) = x - 2

Front

Solve the inequality: -7x - 12 > 9. What could be a possible value of x?

Back

-4

Front

If f(x) = x, which function has a slope that is twice as steep?

Back

g(x) = 2x - 2

Front

What is the solution to the system of equations: y = 4 - x and 2x = 18 + 3y? Write your answer as an ORDERED PAIR.

Back

(6,-2)

Front

Solve the system of equations: 9x + 3y = 7 and -9x - 6y = -8. What is the solution?

Back

(\frac{2}{3}, \frac{1}{3})

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the definition of a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.